Practise sketching quadratic graphs by finding out where the graph crosses each axis. This worksheet contains simple examples using factorising. It also includes the line of symmetry and locating the ...

In this part you do not have to sketch the graph and you may even be given the sketch of the graph to start with. For a quadratic equation of the form \(y = k{(x - a)^2} + b\), the following diagram ...

Plotting a graph takes time. Often mathematicians just want to know the key features. These are: shape, location and some key points (such as where the graph crosses the axes or turning points).

where a, b, and c are numerical constants and c is not equal to zero. Note that if c were zero, the function would be linear. An advantage of this notation is that it can easily be generalized by ...

Quadratic functions are essential in the world of mathematics and have a wide range of applications in various fields, such as physics, engineering, and finance. An inverse function can be thought of ...

Abstract: In this paper an image processing algorithm for automatic evaluation of scanned examination sheets is described. The discussed image contains selected function graphs sketched on a prepared ...